The magnitude of vector
is
.
The vector
lies in
-plane.
The angle is
.
Component form of vector if the vector lies in
-plane :
.
Since the vector makes an angle left of the negative
-axis, the angle is considered to be in third quadrant.
Substitute corresponding values in component form of vectors formula.
\
In third quardrant cosine angle and sine angle are negative.
\
Component form of vector is
.
Component form of vector is
.